Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
204 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 140. C17 | #12060 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530692 | 2 |
| C8×#63231 | 2 |
| #14526847 | 2 |
| Q8⋊#63214 | 2 |
| #14526762 | 2 |
| #14526703 | 2 |
| Q8×C16×C17 | 2 |
| #12060 | 17 |